If a aquadrilateral is equiangular, then it coul be a .....
Multiple choice. A. square
B.rectangle
C.rhombus
D.parallelogram​

200 x 0.87 = 174

She answered 174 questions correctly.

Answer:

Chloe answered 174 problems correctly.

Explanation:

To find percentage, you would multiply the percentages decimal to the total.

0.87x200=174

The two studies indicate that 150 minutes of intense exercise per week is effective in reducing mortality risks.

Study 1 was carried out by the National Cancer Institute and Harvard University, and they collected information about the exercise habits of around 661,000 middle-aged adults from six large ongoing health surveys. They then divided the data into various segments based on the weekly exercise time as a parameter.

The group with no exercise had the highest risk of premature death. Minimal exercise that is less than the recommended levels could still reduce the risk of premature death by 20%.

The group that followed the standard exercise guidelines of 150 min/week of moderate exercise had a 31% lower probability of premature death. Individuals who exercised three times the recommended levels had the best benefits, with a 39% reduction in the risk of premature death.

However, increasing the exercise time did not have a significant effect on mortality risk rates. Study 2 was conducted by James Cook University in Cairns. They collected health survey data for over 200,000 Australian adults, which was then analyzed with corresponding death statistics. Their analysis was more detailed than the first study since they divided the data according to exercise stress levels ranging from normal to strenuous.

The results were similar to the first study, but there were some additional findings. The study showed that adhering to the general recommended exercise guidelines substantially decreased the risk of premature death, even with moderate exercise like walking. Intense exercise had little to no effect on mortality rates.

However, those who spent up to 30 percent of their weekly exercise time in vigorous activities were 9 percent less likely to die prematurely. With more than 30% of their time dedicated to strenuous activities, people gained an extra 13% reduction in early mortality, compared with people who stuck to moderate exercise levels. Very high levels of intense exercise did not improve mortality risk rates significantly.

In conclusion, the two studies indicate that 150 minutes of intense exercise per week is effective in reducing mortality risks.

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In the execution of the Simplex Algorithm, a variable that is extracted from the basis can never re-enter the basis at the very next step due to the optimality conditions and pivoting operations. Here's a step-by-step explanation:

1. Simplex Algorithm is an iterative method for solving linear programming problems.
2. The algorithm starts with an initial feasible solution (basis) and searches for an improved solution by changing the basis (swapping non-basic and basic variables).
3. At each iteration, the algorithm selects a non-basic variable to enter the basis (entering variable) and a basic variable to leave the basis (leaving variable). This is done by pivoting on the element corresponding to the entering and leaving variables in the tableau.
4. The pivot operation enforces that the objective function value improves in each step by increasing (maximization problem) or decreasing (minimization problem) the value of the entering variable.
5. After the pivot operation, the new solution is still feasible, and the entering variable becomes part of the basis while the leaving variable becomes non-basic.
6. The algorithm terminates when no more improvement in the objective function value is possible, meaning that an optimal solution has been found or the problem is unbounded.

Since the entering variable is chosen to improve the objective function, and the pivot operation enforces an improvement, the variable that has just left the basis cannot re-enter at the very next step. If it were to re-enter, it would negate the improvement achieved in the previous step, violating the optimality conditions of the Simplex Algorithm.

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both directions can be chosen as positive in this example. The right-hand rule solves these ambiguities. The resultant remains the same at 3.2 *10^4 Tm

It is possible for the line integral to go around the loop in either direction (clockwise or counterclockwise), the vector area dS to point in either of the two normal directions and Ienc, which is the net current passing through the surface S, to be positive in either direction—but both directions can be chosen as positive in this example. The right-hand rule solves these ambiguities.

The resultant remains the same at 3.2 *10^4 Tm

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Answer:

Step-by-step explanation:

The mean birth weight for the 125 Canadian urban newborns is estimated to be approximately 3.640377 kg.

The p-value is the probability of obtaining results as extreme or more extreme than the observed data, assuming the null hypothesis is true. In this case, the null hypothesis is that urban mothers deliver babies with birth weights equal to or less than 3.4 kg. Since the p-value is 0.0158, which is less than the commonly chosen significance level of 0.05, we reject the null hypothesis in favor of the alternative hypothesis.

When the null hypothesis is rejected, it suggests that there is evidence to support the alternative hypothesis, which states that urban mothers deliver babies with birth weights greater than 3.4 kg. Therefore, we can conclude that the mean birth weight for the 125 Canadian urban newborns is greater than 3.4 kg.

However, the exact value of the mean birth weight for the sample of 125 Canadian urban newborns cannot be determined from the given information. The p-value provides evidence against the null hypothesis but does not provide an estimate of the mean. The mean birth weight for the sample would need to be calculated separately based on the available data.

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Answer:

-1/2

Step-by-step explanation:

slope is rise over run so find the difference between the y values (-9-(-5)) and divide that by the difference between the x values (-1-(-9)).

The probability that exactly three out of two hundred randomly chosen individuals will have the disease is approximately 0.1668 or 16.68%.

To solve this problem, we need to use the binomial distribution formula. The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant.

In this case, the probability of success is 1.2%, which is equivalent to 0.012. The number of trials is 200, and we want to know the probability of exactly three successes.

The formula for the probability of exactly k successes in n trials is:

P(k) = (n choose k) * p^k * (1-p)^(n-k)

where "n choose k" represents the number of ways to choose k items from a set of n items, and p is the probability of success.

Using this formula and plugging in the values we have, we get:

P(3) = (200 choose 3) * 0.012^3 * (1-0.012)^(200-3)

P(3) = (200! / (3! * 197!)) * 0.012^3 * 0.988^197

P(3) = 0.1668

Therefore, the probability that exactly three out of two hundred randomly chosen individuals will have the disease is approximately 0.1668 or 16.68%. This means that if we were to repeat this experiment many times, we would expect to see about 16.68% of the time that exactly three people out of two hundred have the disease.

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Answer

the ticket was 22 dollars

Step-by-step explanation:

Answer:

m = 124 degrees.

Step-by-step explanation:

The sum of the interior angles of a triangle is 180.

The angle opposite m + 56 + 68 = 180.

The angle opposite m = 56.

The angle opposite m + m = 180, so 56 + m = 180.

Angle m = 124.

Answer:

61 degrees

Step-by-step explanation:

The THREE angles in the diagram sum to 180 degrees ( straight line = flat wall)

3x+1     +   58   +   4x-19     = 180

solve for x = 20     then A = 3x+1 = 61 degrees

Answer:

4 3/4

Step-by-step explanation:

= (8 - 3) + (1/4 - 1/2)

= 5 + 1/4 - (1 x 2 over 2 x 2)

= 5 + 1/4 - 2/4

= 5 and (1/2 over 4)

= 5 + -1/4

= 4 3/4

Answer:

Step-by-step explanation:

Potential energy=stored energy so say when the roller coaster stops somewhere they are storing energy.

In then when they just go down there would now be using kinetic energy.

Hope this helps have a great afternoon:)

The angle (in radians) between vectors u and v is approximately 1.66 radians, rounded to two decimal places.

To find the angle between two vectors, we can use the dot product formula and the magnitudes of the vectors. Let's calculate the angle between vectors u and v:

Given:

u = 4i - 6j

v = 5i + 4j

Step 1: Calculate the dot product of u and v.

The dot product of two vectors u and v is given by:

u · v = |u| |v| cosθ

where |u| and |v| are the magnitudes of vectors u and v, respectively, and θ is the angle between them.

To calculate the dot product, we multiply the corresponding components of u and v and sum them:

u · v = (4 * 5) + (-6 * 4) = 20 - 24 = -4

Step 2: Calculate the magnitudes of vectors u and v.

The magnitude of a vector is given by:

|u| = √(u₁² + u₂²)

For vector u:

|u| = √((4)² + (-6)²) = √(16 + 36) = √52 ≈ 7.21

For vector v:

|v| = √((5)² + (4)²) = √(25 + 16) = √41 ≈ 6.40

Step 3: Calculate the angle θ.

Using the dot product formula mentioned earlier, we have:

-4 = (7.21)(6.40)cosθ

Solving for cosθ:

cosθ = -4 / (7.21 * 6.40) ≈ -0.086

To find θ, we can take the inverse cosine (arccos) of cosθ:

θ ≈ arccos(-0.086) ≈ 1.66 radians

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we can use the sinusoidal model for temperature variation over a day.

The temperature variation over a day can often be represented by a sinusoidal function, such as the cosine or sine function. These functions have specific properties, including an amplitude, period, and phase shift, that determine the shape and timing of the temperature curve.

Without knowing the specific characteristics of the sinusoidal function that models the temperature variation, it is challenging to provide an accurate prediction of the temperature at 8 am. The amplitude, period, and phase shift values are needed to precisely determine the temperature at any given time.

To obtain a more accurate estimation, additional information about the sinusoidal function's parameters or data points at other times of the day would be necessary. This would allow for the determination of the specific function and, subsequently, the temperature at 8 am.

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The complete question is:

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high temperature of 96 degrees occurs at 5 PM and the average temperature for the day is 85 degrees. Find the temperature, to the nearest degree, at 9 AM.--- degrees

Answer:

0.75 gallons

Step-by-step explanation:

As the statement indicates that Latrell wants the bedroom ceiling to be 85% blue and 15% white and you know that he needs 4.25 gallons of blue which represents the 85%, you can use a rule of three to find the amount that represents the 15% to know the gallons of white that he needs:

4.25 gallons → 85%

          x         ←  15%

x= (4.25*15)/85

x=0.75

According to this, the answer is that if Latrell needs 4.25 gallons of blue, he needs 0.75 gallons of white.

Therefore, the vector form of the given equation is y = 2(x - 2)² + 1.

To change the standard form of a quadratic equation, y = ax² + bx + c, to the vertex form, y = a(x - h)² + k, we need to complete the square. The vertex form provides a way to quickly identify the vertex, or the minimum or maximum point, of the parabola.

In the given example, we have the standard form y = 2x² - 8x + 9, and we want to convert it to the vertex form y = a(x - h)² + k.

First, we factor out the coeffi

y = 2x² - 8x + 9

 = 2(x² - 4x) + 9

 = 2(x² - 4x + 4 - 4) + 9  // Add and subtract (b/2a)^2

 = 2((x - 2)² - 4) + 9     // Factor and simplify

 = 2(x - 2)² + 1           // Distribute and simplify

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Answer:

m = 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (5, - 3) and (x₂, y₂ ) = (7, 3)

m = \(\frac{3+3}{7-5}\) = \(\frac{6}{2}\) = 3

2)  (3, -4)

3) y + 3 + 3/5 (x - 6)

Both events A and B have probabilities of 1/12, and they are independent events since the outcome on one die does not affect the outcome on the other die.

The event A consists of all outcomes in which the number of spots showing on the red die is three or less.

Since the red die has six equally likely outcomes (1, 2, 3, 4, 5, and 6), the probability of A is:

P(A) = the number of outcomes in A / the total number of possible outcomes.

Out of the six possible outcomes on the red die, three of them are three or less: 1, 2, and 3.

Therefore, the number of outcomes in A is three.

Since there are six equally likely outcomes for the green die as well, the total number of possible outcomes is 6 x 6 = 36.

Therefore, we have:

P(A) = 3/36 = 1/12.

The event B consists of all outcomes in which the number of spots showing on the green die is more than three.

There are also three outcomes on the green die that satisfy this condition: 4, 5, and 6.

Thus, we have:

P(B) = 3/36 = 1/12.

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70 = 100 - 2•15 is 2 s.d.'s below the mean.

130 = 100 + 2•15 is 2 s.d.'s above the mean.

By the empirical rule,

Pr [70 ≤ X ≤ 130] = Pr [-2 ≤ Z ≤ 2] ≈ 95%

(where Z is normally distributed with mean 0 and s.d. 1)

When applying a scale factor, similar shapes are enlarged versions of one another. All of the matching angles and lengths in related shapes are equal and in the same ratio.

Rectangle is also a kind of shape. So, defining similar rectangle two rectangles must have proportional sides in order for them to be identical (form equal ratios) i.e., ratio of the two longer sides should equal the ratio of the two shorter sides.

Steps to find similar rectangle in math:

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Answer:

92.5km/h

your welcome

D 2c + 4c + c

Collect Coefficients of like terms

\((2+4+1)\times c\)

__________________________________________________

Calculate the sum or difference

\(7c\)

__________________________________________________

Determine true/false

\(Determine\ whether\ 7c\ and\ 2c+4c+c\ are equivalent:\)

\(True\)

I hope this helps you

:)

Answer:

Step-by-step explanation:

(a) and (b) see diagram

(c) you can see from the graph, the purple line hits the parabola twice which is y=6   or k=6

(d)  Solving simultaneously can mean to set equal

6x - x² = k                        >subtract k from both sides

6x - x² - k = 0                  >put in standard form

- x² + 6x - k = 0               >divide both sides by a -1

x² - 6x + k = 0

(e) The new equation is the same as the original equation just flipped (see image)

(f)  The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal.  I chose new)

discriminant formula = b² - 4ac

equation:   x² - 6x + 6 = 0            a = 1      b=-6    c = 6

discriminant = b² - 4ac

discriminant= (-6)² - 4(1)(6)

discriminant = 36-24

discriminant = 12

Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.

Answer:

B = 3/4

Step-by-step explanation:

2 1/2 / 3 1/3

can be written as 5/2 divided by 10/3. I always use keep, switch, flip technique with fractions. keep 5/2 switch the division to multiplication, flip the 10/3 to 3/10

5/2 x 3/10 cross multiply

15/20 = 3/4

Answer:

It would be B. 3/4

Step-by-step explanation:

You turn the mixed numbers into improper fractions then you divide by using the reciprocal of the 3 & 1/3. This will leave you into the equation "5/2 * 3/10"

When multiplied, you will get "15/20" which simplifies to "3/4"

To write Acos(?0t) + Bsin(?0t) in the form r*sin(?0t - ?), we can use the identities. The relationship among R, r, ? and ? is:
R^2 = r^2 (1 + (A/B)^2), tan? = r/R = B/A

r = sqrt(A^2 + B^2)
tan? = B/A

Therefore, r = sqrt(A^2 + B^2) and tan? = B/A.

To determine the relationship among R, r, ? and ?, we can use the identity:

R^2 = r^2 + (tan?)^2

Therefore, R = sqrt(r^2 + (tan?)^2) and tan? = r/R. Substituting the expression for tan? from earlier, we get:

tan? = B/A = r/R

Solving for R, we get:

R = r/tan? = r/(B/A) = rA/B

And substituting the expression for R in terms of r and tan?, we get:

R = sqrt(r^2 + (r/R)^2) * A/B

Simplifying this expression, we get:

R^2 = r^2 + (A/B)^2 * r^2

R^2 = r^2 (1 + (A/B)^2)

Therefore, the relationship among R, r, ? and ? is:

R^2 = r^2 (1 + (A/B)^2)
tan? = r/R = B/A

To show that Acos(ω₀t) + Bsin(ω₀t) can be written in the form r*sin(ω₀t - θ), we can use trigonometric identities. We know that:

sin(a - b) = sin(a)cos(b) - cos(a)sin(b)

Comparing this to the given expression, we have:

Acos(ω₀t) + Bsin(ω₀t) = r*sin(ω₀t - θ) = r[sin(ω₀t)cos(θ) - cos(ω₀t)sin(θ)]

Now, let's equate the coefficients of sin(ω₀t) and cos(ω₀t):

A = -r*sin(θ)
B = r*cos(θ)

To find r and θ in terms of A and B, we can use the Pythagorean identity:

A² + B² = (-r*sin(θ))² + (r*cos(θ))² = r²(sin²(θ) + cos²(θ)) = r²

Therefore, r = √(A² + B²).

Now, to find θ, we can use the tangent function:

tan(θ) = -A/B

Now, for the second part, if Rcos(ω₀t - θ) = r*sin(ω₀t - θ), we can use the sine-to-cosine transformation:

Rcos(ω₀t - θ) = Rsin(ω₀t - θ + π/2)

This implies that:

R = r
θ + π/2 = θ'

So, the relationship among R, r, θ, and θ' is:

R = r
θ' = θ + π/2

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Answer:

ima say around 180

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

STEP - BY - STEP EXPLANATION

What to find?

The new the new account balance after 9 months.

Given:

Principal (p) = $20 000

Rate(R) = 8

Time(t) = 9 months = 9/12 year = 0.75 years.

We will solve the given problem using the steps below:

Step 1

State the formula that will be use to solve the problem.

Where I is the interest.

Step 2

Substitute the values into the formula.

Hence, interest(I) = $1200

But;

Amount = principal + Interest

= 20 000 + 1200

=21200

Therefore, the account balance after 9 months is $21200

ANSWER

$21200

Answer:11/57

Step-by-step explanation: